{"id":"30de6a99-064c-4ad8-8f36-82dc06dcf78b","arxiv_id":"1908.03091","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"In a pre-registered online experiment, choices in an efficiency-versus-equity trade-off game predicted Stag-Hunt cooperation, while choices aligned with moral framing did not, indicating efficiency rather than morality drives risky cooperation.","lead":"This study ran an online experiment with 436 people to find out why people cooperate in the Stag-Hunt Game, where cooperating is risky but not costly. The results suggest that cooperation is driven more by a preference for efficiency, getting more total payoff, than by moral feelings about doing the right thing.","discovery_kind":"new_application","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Only the 'unfair'-framed efficiency choice predicts SHG cooperation, so the result may reflect norm-violation or risk-taking rather than efficiency preferences.","rationale":"The reader's CONDITIONAL verdict is appropriate. I identify a sharper version of the reader's weakest assumption: the only frame in which the efficiency-preference correlation emerges is the frame where the efficient option is labeled 'unfair'. This makes the measure confounded with moral-norm violation and risk-taking. The authors' explanation for the absent effect in the efficient frame is post hoc. This does not make the paper's evidence worthless, but it raises the correctness risk and strengthens the need for a neutral-frame or pre-SHG measurement. The paper could not be accepted as demonstrating the central claim without additional data or a compelling control; a conditional revision is the right recommendation.","tokens_in":4155,"tokens_out":10429,"duration_ms":121829,"concrete_test":"Run a new pre-registered experiment with the same SHG followed by a neutral-frame TOG (no 'generous', 'fair', or 'unfair' labels) and an independent measure of risk preference or moral-norm adherence. The pre-registered prediction is that TOG efficient choice in the neutral frame should significantly predict SHG cooperation, and the correlation should survive controlling for risk preference. If it does not, the original effect is a product of the negative moral label, not an efficiency preference.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim is that efficiency preferences, not moral preferences, drive SHG cooperation. The support rests on the coefficient on TOG Efficient Choice in Table 4, which is significant only because the dummy is coded 1 for the efficient allocation in the equitable frame (b2 = 0.612, p < .05). Within the efficient frame, efficient choosers actually cooperate slightly less than equitable choosers (60.99% vs. 63.16%; b2 + b3 ≈ -0.09, p > .80). In the equitable frame, the efficient allocation is labeled 'be unfair', so choosing it is simultaneously a choice to act against a moral label. The correlation with SHG cooperation is therefore equally compatible with a disposition to disregard moral labels, or with risk-seeking/norm-independence, driving both 'unfair' choices and risky cooperation. The paper's post hoc explanation that these participants have 'stronger preferences for efficiency' because they overcome the moral framing is unfalsifiable without a neutral frame. Consequently, the design does not cleanly separate efficiency preferences from the willingness to violate moral norms, and the central claim is underdetermined.","agreement_with_reader":"partial"},"referee_report":{"model":"deepseek-v4-flash","summary":"The paper reports a pre-registered online experiment (N=436) in which participants first play a one-shot Stag-Hunt Game (SHG) and then a Trade-Off Game (TOG) that pits an equitable allocation against an efficient one, with the two options labeled either 'generous/ungenerous' or 'fair/unfair.' A logistic regression predicting SHG cooperation from TOG choice and frame condition shows a positive coefficient on choosing the efficient allocation, which the authors interpret as evidence that efficiency preferences, rather than moral preferences, drive SHG cooperation. The authors conclude that this contrasts with prior findings for the Prisoner's Dilemma, where moral preferences appear to be the primary driver.","tokens_in":4313,"tokens_out":3634,"duration_ms":41293,"significance":"If the central claim were cleanly identified, this would be an important contribution: it would show that the moral-preference account of prosociality in the Prisoner's Dilemma does not automatically extend to games in which cooperation is risky rather than costly. The study is pre-registered, uses a large sample, and reports robust standard errors, which are genuine strengths. However, as analyzed below, the current evidence does not support the strong conclusion in the title and abstract, because the only significant effect appears in the frame where the efficient option is labeled 'be unfair,' leaving a confound between efficiency preference and willingness to violate a moral label.","major_comments":[{"comment":"The positive coefficient on TOG Efficient Choice (b2 = 0.612, p < 0.05) is significant only in the equitable frame; the interaction term (b3 = -0.704) is not significant, and the test b2 + b3 = 0 shows no effect in the efficient frame. Thus, the data do not show that efficiency preference per se predicts SHG cooperation; they show that choosing an allocation labeled 'be unfair' predicts it. This result is equally compatible with a disposition to disregard moral labels, or with risk-seeking/norm-independence, and the post hoc explanation in Section 4—that these participants have 'stronger preferences for efficiency' because they overcome the moral framing—is unfalsifiable without a neutral frame. The central claim is therefore underdetermined by the reported analysis.","section":"Section 3, Table 4"},{"comment":"The Trade-Off Game is always administered after the Stag-Hunt Game, with no order counterbalancing. If prior SHG choices or outcomes influence TOG choices, the observed correlation does not identify a stable, context-independent efficiency preference. The authors should either test for order effects or substantially temper the causal language in the conclusion.","section":"Section 2.1"},{"comment":"The moral-preferences hypothesis is tested by assuming that the labels 'be generous' and 'be fair' are perceived as morally right, based on Capraro and Rand (2018). No manipulation check is reported for this sample. Without such a check, the null result for the positively framed option could reflect failed framing validation rather than the absence of moral preferences.","section":"Section 2.2 and footnote 4"}],"minor_comments":[{"comment":"The chi-square tests are reported at the bottom of the table but are not described in the text; please state what null hypotheses they test and why they are relevant to the pre-registered hypotheses.","section":"Table 4"},{"comment":"The note says the payoffs were divided by two to produce roughly 50% efficient choices in the SHG, but the unconditional SHG cooperation rate is not reported in the main text before the conditional rates in Table 3; consider adding it.","section":"Section 2.1, footnote 3"},{"comment":"The phrase 'primarily driven by efficiency motives' is too strong relative to the statistical evidence, which rests on a single significant coefficient in one frame; the conclusion should be scaled to the strength of the finding.","section":"Abstract and Section 4"},{"comment":"The between-subjects random assignment to the two TOG frames is not accompanied by a demographic balance check; reporting one would strengthen confidence in the framing comparison.","section":"Section 2.1"}],"recommendation":"major_revision","confidential_remarks":"The paper fits the journal's scope and the pre-registered design is a strength, but the headline claim currently overreaches the data because of the 'unfair' frame confound. The authors should be asked to either provide additional data (e.g., a neutral frame or a risk-preference measure) or to substantially qualify the conclusion. If they choose to qualify, the title and abstract should be adjusted accordingly."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"The paper does something genuinely new: it takes Capraro and Rand's Trade-Off Game decomposition and applies it to the one-shot Stag-Hunt, where cooperation is risky rather than costly. That is a sensible question, and the authors pre-registered the design, ran a decent-sized MTurk sample (N=436), and report clean logistic regressions. Credit is due for that. The headline result—that TOG efficiency choice predicts SHG cooperation while the positively framed moral choice does not—is a real empirical finding, even if the size is modest.\n\nThe soft spots are not fatal but they matter. First, the effect is almost entirely driven by the equitable frame, where the efficient allocation is labeled \"be unfair.\" In the efficient frame, efficient choosers cooperate less than equitable choosers (60.99% vs 63.16%), and the interaction term is negative. So the only significant contrast is between people who choose \"unfair\" in the TOG and people who choose \"fair.\" That is equally compatible with a disposition to ignore moral labels—or even with risk-seeking—as with efficiency preferences. The paper's post hoc story about strong efficiency preferences overcoming the moral frame is plausible but unfalsifiable without a neutral frame. The stress-test note lands.\n\nSecond, the TOG is played after the SHG, and order effects are not addressed. It is possible that SHG choices shape how people read the subsequent allocation task, though I would not expect that to wipe out the result. Still, it is an easy robustness check and should be done.\n\nThird, the framing validation comes from earlier papers, not from this sample. That is acceptable for a replication-style design, but it means the moral hypothesis is only tested indirectly.\n\nWho is this for? Behavioral economists and experimental game theorists interested in the motivational basis of cooperation. It is a useful contribution to that literature, and the flaws are addressable. I would send it to peer review, but I would push for revision: add a neutral TOG condition, counterbalance or at least analyze order effects, report data and code, and soften the causal language in the conclusion so it matches the evidence.\n\nAll in all, a serious, honest paper with a real new result that currently overstates what it shows.","headline":"New TOG-to-Stag-Hunt result is worth a referee, but the efficiency conclusion rests mainly on the 'unfair' frame and needs a neutral condition and order controls.","tokens_in":4873,"tokens_out":1400,"would_cite":false,"duration_ms":16535,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"In the one-shot Stag-Hunt Game, cooperation is driven by preferences for efficiency, not by moral preferences for doing the right thing.","keywords":["morality","cooperation","efficiency","risky choices","stag-hunt game","trade-off game","prisoner's dilemma","pre-registered experiment"],"falsifier":"A direct test would play the Trade-Off Game before the Stag-Hunt Game, or use a Trade-Off Game with neutral labels, and check whether the correlation between efficient choices and Stag-Hunt cooperation survives; if it disappears, the result is an artifact of the order or of the moral framing rather than evidence for a stable efficiency preference.","tokens_in":3929,"feed_emoji":"🦌","tokens_out":2695,"duration_ms":29546,"temperature":0.7,"pith_summary":"This paper tries to establish that cooperation in the one-shot Stag-Hunt Game is primarily motivated by a preference for efficiency (maximizing total payoff), not by moral preferences for doing what is framed as right. It matters because the Stag-Hunt is a standard model of social cooperation and collective action, and knowing what actually drives it suggests different interventions than those implied by the morality-first account of Prisoner's Dilemma cooperation. Using a large, preregistered experiment with 436 participants, the authors show that choosing an efficient allocation in a separate Trade-Off Game predicts Stag-Hunt cooperation, especially when that efficient choice was framed as morally wrong. Choosing the option that the framing labels as morally right does not predict cooperation.","feed_headline":"Efficiency, not morality, drives Stag-Hunt cooperation","feed_subtitle":"A 436-person experiment shows cooperative choice tracks total-payoff gains, not the option framed as morally right.","key_machinery":"The Trade-Off Game (TOG), a dictator-style allocation task with two between-subjects framing conditions: in the efficient frame, the efficient allocation is labeled \"be generous\" and the equitable allocation \"be ungenerous\"; in the equitable frame, the equitable allocation is labeled \"be fair\" and the efficient allocation \"be unfair\". The design makes the same efficient choice morally praised in one condition and morally condemned in the other, so a choice that persists despite negative framing reveals a strong preference for efficiency. The correlation of that choice with Stag-Hunt cooperation is the central measure that separates efficiency motives from moral motives.","core_discovery":"The paper reports that, in a one-shot anonymous Stag-Hunt Game, participants who later chose the efficient allocation in the Trade-Off Game were significantly more likely to cooperate, while those who chose the allocation framed as morally appropriate were not. This correlation was driven by participants in the equitable frame, where the efficient allocation was labeled \"unfair\": people who chose efficiency despite the negative moral label cooperated at substantially higher rates. The authors conclude that efficiency preferences, rather than moral preferences, drive Stag-Hunt cooperation, in contrast to the Prisoner's Dilemma, where moral preferences have been shown to be primary.","pith_inferences":["The pattern suggests that people who choose the efficient allocation under the \"unfair\" label have an unusually strong efficiency preference, whereas in the efficient frame the efficient choice is a default that carries no diagnostic power; this asymmetry is an insight the authors offer but do not fully formalize.","A natural extension would be to measure risk preferences directly and test whether the efficiency effect on Stag-Hunt cooperation is moderated by risk aversion, since the cooperative choice is risky.","If efficiency preferences are the true driver, then providing information about total surplus or the payoff-dominant equilibrium should raise cooperation even without moral framing.","Because the Trade-Off Game was played after the Stag-Hunt Game, a short testable extension is to reverse the order; if the correlation disappears, the measured preference may be partly constructed by the preceding game."],"forward_implications":["If the finding is correct, efforts to encourage cooperation in risky coordination settings should emphasize the collective gains from cooperation rather than moral duty or doing the right thing.","The motive behind cooperation depends on the strategic structure of the game: costly cooperation (Prisoner's Dilemma) may be moral, while risky cooperation (Stag-Hunt) is efficient.","Models of social preferences should separate efficiency from morality as distinct channels, because they operate differently depending on whether cooperation is costly or risky.","In the Stag-Hunt, an efficiency preference strong enough to overcome negative moral framing is the best predictor of the cooperative choice, implying that moral suasion alone may not raise cooperation in such games.","The same methodology could be extended to other coordination games to map where moral versus efficiency preferences dominate."],"supporting_citations":[{"why":"Supplies the Trade-Off Game and the moral/efficiency framing methodology that the present experiment adapts to the Stag-Hunt.","marker":"Capraro & Rand (2018)"},{"why":"Provides the Stag-Hunt payoff game adapted here to yield roughly 50% efficient choices.","marker":"Rydval & Ortmann (2005)"},{"why":"Supports the online interactive experiment procedure on Amazon Mechanical Turk used for the data collection.","marker":"Arechar et al. (2018)"},{"why":"Extends the Trade-Off Game framing results and is used to interpret the strong framing effect found in the data.","marker":"Tappin & Capraro (2018)"}],"fun_headline_variants":["Stag-Hunt cooperation driven by efficiency, not morality","Efficiency preferences fuel Stag-Hunt cooperation","436-person test: efficiency beats moral preference in Stag-Hunt","Cooperation in Stag-Hunt hinges on efficiency, not moral framing","Stag-Hunt: efficiency trumps morality for cooperators"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The conclusion rests on the assumption that a choice in the Trade-Off Game, made after the Stag-Hunt Game and without risk, reveals a stable, context-independent preference for efficiency that also motivates the risky cooperative choice, and that the framing labels identify what participants actually regard as morally right.","fun_headline_variants_meta":{"raw":{"variants":["Stag-Hunt cooperation driven by efficiency, not morality","Efficiency preferences fuel Stag-Hunt cooperation","436-person test: efficiency beats moral preference in Stag-Hunt","Cooperation in Stag-Hunt hinges on efficiency, not moral framing","Stag-Hunt: efficiency trumps morality for cooperators"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.00023,"raw_usage":{"total_tokens":1408,"prompt_tokens":800,"completion_tokens":608,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":416,"completion_tokens_details":{"reasoning_tokens":523}},"tokens_in":416,"tokens_out":608,"duration_ms":6098,"temperature":1.0,"reasoning_tokens":523,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-14T14:24:42.704376+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"A direct test would play the Trade-Off Game before the Stag-Hunt Game, or use a Trade-Off Game with neutral labels, and check whether the correlation between efficient choices and Stag-Hunt cooperation survives; if it disappears, the result is an artifact of the order or of the moral framing rather than evidence for a stable efficiency preference.","supporting_citations":[{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Supplies the Trade-Off Game and the moral/efficiency framing methodology that the present experiment adapts to the Stag-Hunt."}],"review_version":1}